7.2 Parabolas practice 2

Find the standard form of the equation of the parabola with vertex [math](2,1)[/math] and focus [math](2,4)[/math].

Find the focus of the parabola [math]y=-\dfrac{1}{2}x^2-x+\dfrac{1}{2}[/math].

Determine the equation of the given conic section from the graph.

Parabola that opens up has a vertex at [math](-2,-4)[/math] and contains point [math](-4,3)[/math]. Determine the equation of the directrix of this parabola.

You installed a parabolic satellite dish on your house to watch satellite TV. The satellite dish is 5.8 inches deep and 16 inches wide. If the receiver is placed at the focus, how far from the vertex of the satellite dish should you place the receiver?

The vertex of [math](y-3)^2=-8(x+2)[/math] is

Find the directrix of the parabola: [math]y^2-x=0[/math]

Find the focus of the parabola: [math]y^2-6y-12x-15=0[/math]

Find an equation of the parabola whose graph is shown.